Sketching Quadratic Graphs
A Quadratic graph has a exponents next to certain numerals or letters unlike a polynomial a Quadratic can have whatever exponent it wants in it. An example of a Quadratic Graph is as follows:
Y= -7X^2 + 5
Quadratic Example 1
Solving Quadratic Equations
Solve this following expression, 0= X^2-5X
1. Write down the equation ----------------------------------------------- 0= X^2-5X
2. Factorize by removing the common factor ---------------------- 0= X(X-5)
3. Use the Null Factor Law ----------------------------------------------- X=0 or X-5=0
4. Solve Equations (where necessary) ------------------------------- X=5
5. Check
---------------------------------------------------------------------------------------X=0: LHS=0^2 - 5X0 = 0
---------------------------------------------------------------------------------------X=5: LHS=5^2 – 5X5 = 0
LHS = Left Hand Side
0= X^2-5X
Method
From the given equation Y= 3X^2 +6X
Use a table to create a set of points for yourself
Sketching Quadratic Graphs
Expanded form
y = ax^2+bx+c
Sketching Quadratic Graphs
A Quadratic graph has a exponents next to certain numerals or letters unlike a polynomial a Quadratic can have whatever exponent it wants in it. An example of a Quadratic Graph is as follows:
Y= -7X^2 + 5
Solving Quadratic Equations
Solve this following expression, 0= X^2-5X
1. Write down the equation ----------------------------------------------- 0= X^2-5X
2. Factorize by removing the common factor ---------------------- 0= X(X-5)
3. Use the Null Factor Law ----------------------------------------------- X=0 or X-5=0
4. Solve Equations (where necessary) ------------------------------- X=5
5. Check
---------------------------------------------------------------------------------------X=0: LHS=0^2 - 5X0 = 0
---------------------------------------------------------------------------------------X=5: LHS=5^2 – 5X5 = 0
LHS = Left Hand Side
Method
From the given equation Y= 3X^2 +6X
Use a table to create a set of points for yourself